SOLUTION: What is {{{ (f-g) }}}(x) if you are given these two functions: {{{ f(x) = a^2 - 2 ab + b^2c }}} and {{{ g(x) = -3b^2c + 6ab }}} A.) {{{ a^2 - 8 ab + 4b^2c }}} B.) {{{ a^2 - 8a

Algebra ->  Functions -> SOLUTION: What is {{{ (f-g) }}}(x) if you are given these two functions: {{{ f(x) = a^2 - 2 ab + b^2c }}} and {{{ g(x) = -3b^2c + 6ab }}} A.) {{{ a^2 - 8 ab + 4b^2c }}} B.) {{{ a^2 - 8a      Log On


   

Question 1047845: What is +%28f-g%29+(x) if you are given these two functions: +f%28x%29+=+a%5E2+-+2+ab+%2B+b%5E2c+ and +g%28x%29+=+-3b%5E2c+%2B+6ab+
A.) +a%5E2+-+8+ab+%2B+4b%5E2c+
B.) +a%5E2++-+8ab+%2B+2b%5E2c+
C.) +a%5E2+%2B+ab+-+2b%5E2c+
D.) +a%5E2+%2B+8+ab+-+4b%5E2c+
Found 2 solutions by MathLover1, advanced_Learner:
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

if you are given these two functions: +f%28x%29+=+a%5E2+-+2+ab+%2B+b%5E2c+ and +g%28x%29+=+-3b%5E2c+%2B+6ab+
+%28f-g%29%28x%29=+f%28x%29-g%28x%29
+%28f-g%29%28x%29=+a%5E2+-+2ab+%2B+b%5E2c-%28-3b%5E2c+%2B+6ab%29
+%28f-g%29%28x%29=+a%5E2+-+2ab+%2B+b%5E2c%2B3b%5E2c-+6ab
+%28f-g%29%28x%29=+a%5E2-+8ab+%2B+4b%5E2c
so, answer is:
A.) +a%5E2+-+8+ab+%2B+4b%5E2c+

Answer by advanced_Learner(501) About Me  (Show Source):
You can put this solution on YOUR website!
A is the solution

just distract F(x) from g(x).